Zoekopdracht:
faculteit: "FNWI" en publicatiejaar: "2008"
| Auteurs | P. Lieshout, M. Mandjes | | Titel | Asymptotic analysis of Lévy-driven tandem queues |
| Tijdschrift | Queueing Systems |
| Jaargang | 60 |
| Jaar | 2008 |
| Nummer | 3-4 |
| Pagina's | 203-226 |
| ISSN | 02570130 |
| Faculteit | Faculteit der Natuurwetenschappen, Wiskunde en Informatica |
| Instituut/afd. | FNWI: Korteweg-de Vries Institute for Mathematics (KdVI) |
| Samenvatting | We analyze tail asymptotics of a two-node tandem queue with spectrally-positive Lévy input. A first focus lies in the tail probabilities of the type P(Q 1>α x,Q 2>(1−α)x), for α∈(0,1) and x large, and Q i denoting the steady-state workload in the ith queue. In case of light-tailed input, our analysis heavily uses the joint Laplace transform of the stationary buffer contents of the first and second queue; the logarithmic asymptotics can be expressed as the solution to a convex programming problem. In case of heavy-tailed input we rely on sample-path methods to derive the exact asymptotics. Then we specialize in the tail asymptotics of the downstream queue, again in case of both light-tailed and heavy-tailed Lévy inputs. It is also indicated how the results can be extended to tandem queues with more than two nodes. |
| Soort document | Artikel |
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